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This question provides practice at adding, subtracting, dividing and multiplying complex numbers in rectangular form.

Denominators with linear factors, repeated factors and non-factorisable quadratics.

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Practice solving equations with integer solutions. 

Extra practice on some basic algebra skills, including solving linear equations. You can try as many times as you like and also generate new versions of the questions for extra practice.

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Practice MCQ to decide which quadrant a complex number lies in.

This is a set of questions designed to help you practice adding, subtracting, multiplying and dividing fractions.

All of these can be done without a calculator.

A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).

This is a Mathematics ability assessment for entry into the Bachelor of Engineering and Technology course at Chisholm Institute. The entire platform has bee developed by Numbas. There are 32 math questions and 6 instruction question regarding how to put answer in the answe rbox. Please practice the 'how to put answer' section first before starting to answer math questions.

You can seek help but it will reduce your marks.

Good luck!

No time limit - unlimited regeneration of questions allowed from these groups:

• Notation and Algebra
• Calculus - Differentiation
• Calculus - Integration
• Trigonometry and Matrices

Algebra Test 1

Student finds a basis for kernel and image of a matrix transformation. Any basis can be entered; there is a custom marking algorithm which checks if it is a correct basis.

There are options to adjust this question fairly easily, for example to get different variants for practice and for a test, by changing the options in the "pivot columns" in the variables. You should be careful to think about and test your pivot options, as some are easier or harder than others, and some don't work very well.

This is a practice Mini Test 1 for Accounting

Practice of conversion between SI units of mass, volume & length.

A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).

Practice using the log rules to add and subtract logarithms

These practice questions cover:

• resolving axial forces in a truss structure
• stress & strain in a closed thin-walled pressure vessel (an example of 2D plane stress)
• use of Mohr's circle for determining principal stresses for a 2D plane stress case
• calculation of invariants for general 3D stress case, leading to von Mises stress and principal stresses

Given a random variable $X$  normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.

Practice to decide which quadrant a complex number lies in.

This question provides practice at adding, subtracting, dividing and multiplying complex numbers in rectangular form.